Item Successfully Added to Cart
An error was encountered while trying to add the item to the cart. Please try again.
Please make all selections above before adding to cart
Share this page via the icons above, or by copying the link below:
Copy To Clipboard
Successfully Copied!
Imaging, Multi-scale and High Contrast Partial Differential Equations

Edited by: Habib Ammari Ecole Normale Supérieure, Paris, France
Yves Capdeboscq Mathematical Institute, Oxford, United Kingdom
Hyeonbae Kang Inha University, Incheon, Korea
Imbo Sim National Institute of Mathematical Sciences, Daejeon, Korea
Available Formats:
Softcover ISBN: 978-1-4704-1923-3
Product Code: CONM/660
List Price: $108.00 MAA Member Price:$97.20
AMS Member Price: $86.40 Electronic ISBN: 978-1-4704-2932-4 Product Code: CONM/660.E List Price:$108.00
MAA Member Price: $97.20 AMS Member Price:$86.40
Bundle Print and Electronic Formats and Save!
This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.
List Price: $162.00 MAA Member Price:$145.80
AMS Member Price: $129.60 Click above image for expanded view Imaging, Multi-scale and High Contrast Partial Differential Equations Edited by: Habib Ammari Ecole Normale Supérieure, Paris, France Yves Capdeboscq Mathematical Institute, Oxford, United Kingdom Hyeonbae Kang Inha University, Incheon, Korea Imbo Sim National Institute of Mathematical Sciences, Daejeon, Korea Available Formats:  Softcover ISBN: 978-1-4704-1923-3 Product Code: CONM/660  List Price:$108.00 MAA Member Price: $97.20 AMS Member Price:$86.40
 Electronic ISBN: 978-1-4704-2932-4 Product Code: CONM/660.E
 List Price: $108.00 MAA Member Price:$97.20 AMS Member Price: $86.40 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$162.00 MAA Member Price: $145.80 AMS Member Price:$129.60
• Book Details

Contemporary Mathematics
Volume: 6602016; 148 pp
MSC: Primary 35; 65; 86;

This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7–9, 2014, in Daejeon, Korea.

The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and compute. On the other hand, imaging in highly heterogeneous media poses significant challenges to the mathematical community.

The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. Of particular importance in imaging are shape representation techniques and regularization approaches. Special attention is devoted to new models and problems coming from physics leading to innovative imaging and signal processing methods.

Readership

Graduate students and research mathematicians interested in applied math, inverse problems, and imaging PDEs.

• Table of Contents

• Articles
• Habib Ammari, Stéphane Mallat, Irène Waldspurger and Han Wang - Wavelet methods for shape perception in electro-sensing
• Habib Ammari and Han Wang - Time-domain multiscale shape identification in electro-sensing
• Hyeonbae Kang and Eunjoo Kim - Estimation of stress in the presence of closely located elastic inclusions: A numerical study
• Hyundae Lee and Jaeyoung Lee - Array dependence of effective parameters of dilute periodic elastic composite
• Mikyoung Lim - A review on the enhancement of near-cloaking using the multilayer structure
• Giovanni S. Alberti and Yves Capdeboscq - On local non-zero constraints in PDE with analytic coefficients
• Josselin Garnier - Daylight imaging for virtual reflection seismology
• Muhammad Afzal, Muhammad Ayub, Rab Nawaz and Abdul Wahab - Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes
• Durga Prasad Challa - Direct scattering by a sound hard small body
• Giulio Ciraolo - Helmholtz equation in unbounded domains: Some convergence results for a constrained optimization problem
• Additional Material

• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 6602016; 148 pp
MSC: Primary 35; 65; 86;

This volume contains the proceedings of the Seoul ICM 2014 Satellite Conference on Imaging, Multi-scale and High-Contrast PDEs, held from August 7–9, 2014, in Daejeon, Korea.

The mathematical analysis of partial differential equations modelling materials, or tissues, presenting multiple scales has been a very active area of research. The study of the corresponding imaging or reconstruction problem is a more recent area. If the material parameters of the partial differential equation present high contrast ratio, then the solution to the PDE becomes particularly challenging to analyze and compute. On the other hand, imaging in highly heterogeneous media poses significant challenges to the mathematical community.

The focus of this volume is on recent progress towards complete understanding of the direct problem with high contrast or high frequencies, and unified approaches to the inverse and imaging problems for both small and large contrast or frequencies. Of particular importance in imaging are shape representation techniques and regularization approaches. Special attention is devoted to new models and problems coming from physics leading to innovative imaging and signal processing methods.

Readership

Graduate students and research mathematicians interested in applied math, inverse problems, and imaging PDEs.

• Articles
• Habib Ammari, Stéphane Mallat, Irène Waldspurger and Han Wang - Wavelet methods for shape perception in electro-sensing
• Habib Ammari and Han Wang - Time-domain multiscale shape identification in electro-sensing
• Hyeonbae Kang and Eunjoo Kim - Estimation of stress in the presence of closely located elastic inclusions: A numerical study
• Hyundae Lee and Jaeyoung Lee - Array dependence of effective parameters of dilute periodic elastic composite
• Mikyoung Lim - A review on the enhancement of near-cloaking using the multilayer structure
• Giovanni S. Alberti and Yves Capdeboscq - On local non-zero constraints in PDE with analytic coefficients
• Josselin Garnier - Daylight imaging for virtual reflection seismology
• Muhammad Afzal, Muhammad Ayub, Rab Nawaz and Abdul Wahab - Mode-matching solution of a scattering problem in flexible waveguide with abrupt geometric changes
• Durga Prasad Challa - Direct scattering by a sound hard small body
• Giulio Ciraolo - Helmholtz equation in unbounded domains: Some convergence results for a constrained optimization problem
Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.